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Simplifying v + -14 = -1(4v + -6) Reorder the terms: -14 + v = -1(4v + -6) Reorder the terms: -14 + v = -1(-6 + 4v) -14 + v = (-6 * -1 + 4v * -1) -14 + v = (6 + -4v) Solving -14 + v = 6 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -14 + v + 4v = 6 + -4v + 4v Combine like terms: v + 4v = 5v -14 + 5v = 6 + -4v + 4v Combine like terms: -4v + 4v = 0 -14 + 5v = 6 + 0 -14 + 5v = 6 Add '14' to each side of the equation. -14 + 14 + 5v = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 5v = 6 + 14 5v = 6 + 14 Combine like terms: 6 + 14 = 20 5v = 20 Divide each side by '5'. v = 4 Simplifying v = 4
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